Study Notes Materials For BBA Statistics For Semester III Topic Wise Analysis 1000+ Solved Problems (SPIRAL)

Study Materials For BBA Stat For Semester III

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  • THIS BOOK IS WRITTEN ACCORDING TO LATEST SYLLABUS WITH 2000+ SOLVED EXAMPLES TOPICS COVERED ARE AS FOLLOWS 1. INTRODUCTION: STATISTICS AS A SUBJECT; FUNCTIONS, IMPORTANCE AND LIMITATIONS OF STATISTICS; PLANNING AND EXECUTION OF A STATISTICAL INVESTIGATION; 2. COLLECTION, EDITING AND PRESENTATION OF DATA: PRIMARY DATA AND SECONDARY DATA; METHODS OF COLLECTION; SCRUTINY OF DATA. PRESENTATION OF DATA: TEXTUAL AND TABULAR PRESENTATIONS; CONSTRUCTION OF A TABLE AND THE DIFFERENT COMPONENTS OF A TABLE. 3. FREQUENCY DISTRIBUTIONS: ATTRIBUTE AND VARIABLE; FREQUENCY DISTRIBUTION OF AN ATTRIBUTE; DISCRETE AND CONTINUOUS VARIABLES; FREQUENCY DISTRIBUTIONS OF DISCRETE AND CONTINUOUS VARIABLES; BIVARIATE AND MULTIVARIATE FREQUENCY DISTRIBUTIONS. DIAGRAMMATIC REPRESENTATION OF A FREQUENCY DISTRIBUTION. 4. MEASURES OF CENTRAL TENDENCY: DEFINITION AND UTILITY; CHARACTERISTICS OF A GOOD AVERAGE; DIFFERENT MEASURES OF AVERAGE; ARITHMETIC MEAN; MEDIAN; OTHER POSITIONAL MEASURES – QUARTILES, DECILES, PERCENTILES; MODE; RELATION BETWEEN MEAN, MEDIAN AND MODE; 5. MEASURES OF DISPERSION: MEANING AND OBJECTIVE OF DISPERSION; CHARACTERISTICS OF A GOOD MEASURE OF DISPERSION; DIFFERENT MEASURES OF DISPERSION – RANGE, QUARTILE DEVIATION, MEAN DEVIATION, MEAN ABSOLUTE DEVIATION, STANDARD DEVIATION; COMPARISON OF THE DIFFERENT MEASURES OF DISPERSION. 6. MOMENTS, SKEWNESS AND KURTOSIS: MOMENTS; COEFFICIENTS BASED ON MOMENTS; SHEPPARD’S CORRECTION; SKEWNESS; MEASURES OF SKEWNESS; 7. CORRELATION AND REGRESSION: ANALYSIS OF BIVARIATE DATA. CORRELATION ANALYSIS – MEANING OF CORRELATION; SCATTER DIAGRAM; KARL PEARSON’S COEFFICIENT OF LINEAR CORRELATION; CALCULATION OF THE CORRELATION COEFFICIENT FROM GROUPED DATA; PROPERTIES OF THE CORRELATION COEFFICIENT; ADVANTAGES AND LIMITATIONS OF THE COEFFICIENT OF CORRELATION; IDEA OF RANK CORRELATION; SPEARMAN’S RANK CORRELATION COEFFICIENT. REGRESSION ANALYSIS 8. INDEX NUMBERS: DEFINITION, CHARACTERISTIC AND USES OF INDEX NUMBERS; METHODS OF CONSTRUCTING PRICE AND QUANTITY INDICES (SIMPLE AND AGGREGATE); VALUE INDEX; COMPARISON OF LASPEYRES’ AND PAASCHE’S INDEX NUMBERS; TESTS OF ADEQUACY; CHAIN-BASE INDEX NUMBERS. CONSUMER PRICE INDEX NUMBERS; PROBLEMS 9. ANALYSIS OF TIME SERIES: OBJECTIVE OF TIME SERIES ANALYSIS; CAUSES OF VARIATIONS IN TIME SERIES DATA; COMPONENTS OF A TIME SERIES; DECOMPOSITION – ADDITIVE AND MULTIPLICATIVE MODELS; DETERMINATION OF TREND – MOVING AVERAGES METHOD AND METHOD OF LEAST SQUARES; MEASUREMENT OF SECULAR TREND; 10. THEORY OF PROBABILITY: PROBABILITY AS A CONCEPT; BASIC PROBABILITY RULES; TREE DIAGRAMS; CONDITIONAL PROBABILITY; MUTUALLY EXCLUSIVE EVENTS AND INDEPENDENT EVENTS; BAYES’ THEOREM 11. PROBABILITY DISTRIBUTION OF A RANDOM VARIABLE: DISCRETE AND CONTINUOUS RANDOM VARIABLES; EXPECTATION VALUE; 12. THEORETICAL PROBABILITY DISTRIBUTIONS: PROBABILITY MASS FUNCTION AND DENSITY FUNCTION; DISCRETE DISTRIBUTIONS – THE BINOMIAL DISTRIBUTION AND ITS PROPERTIES; IDEA OF GEOMETRICAL AND HYPERGEOMETRIC DISTRIBUTIONS. THE POISSON DISTRIBUTION AND ITS PROPERTIES; FITTING A BINOMIAL OR POISON DISTRIBUTION TO AN OBSERVED DISTRIBUTION. CONTINUOUS DISTRIBUTIONS. 13. SAMPLING AND SAMPLING DISTRIBUTIONS: SAMPLING VERSUS COMPLETE ENUMERATION; RANDOM AND NONRANDOM SAMPLING; DIFFERENT TYPES OF RANDOM SAMPLING; SAMPLE STATISTIC AND POPULATION PARAMETER; PRACTICAL METHODS OF DRAWING A RANDOM SAMPLE. SAMPLING DISTRIBUTIONS – STANDARD ERROR; SAMPLING DISTRIBUTION OF THE SAMPLE MEAN AND THE SAMPLE PROPORTION. SAMPLING FROM NORMAL AND NON-NORMAL POPULATIONS; 14. ESTIMATION: POINT AND INTERVAL ESTIMATION; CRITERIA OF A GOOD ESTIMATOR; METHODS OF POINT ESTIMATION – THE METHOD OF MAXIMUM LIKELIHOOD AND THE METHOD OF MOMENTS; INTERVAL ESTIMATES – INTERVAL ESTIMATES AND CONFIDENCE INTERVALS; CONFIDENCE LEVEL AND CONFIDENCE INTERVAL; CALCULATING INTERVAL ESTIMATES OF THE MEAN AND PROPORTION FROM LARGE SAMPLES; FINITE CORRECTION FACTOR. 15. HYPOTHESES TESTING: CONCEPTS BASIC TO THE HYPOTHESIS TESTING PROCEDURE; STEPS IN HYPOTHESIS TESTING; TYPE I AND TYPE II ERRORS; TWO-TAILED AND ONE-TAILED TESTS OF HYPOTHESES. HYPOTHESIS TESTING OF MEANS WHEN THE POPULATION STANDARD DEVIATION IS KNOWN / NOT KNOWN; POWER OF A HYPOTHESIS TEST; HYPOTHESIS TESTING OF PROPORTIONS; 16. CHI-SQUARE AND ANALYSIS OF VARIANCE: CHI-SQUARE AS A TEST OF INDEPENDENCE AND AS A TEST OF GOODNESS OF FIT. ANALYSIS OF VARIANCE: CALCULATING THE VARIANCE AMONG THE SAMPLES AND WITHIN THE SAMPLES. THE F DISTRIBUTION AND THE F HYPOTHESIS TEST.